International Journal of Engineering and Information Systems (IJEAIS)   Year: 2020 | Volume: 4 | Issue: 3 | Page No.: 46-59 Linear Transformations of Type(I) and Linear Transformations of Type(II) Abedal-Hamza Mahdi Hamza and Zainab Abedul-Zahra Najim Abstract: In this paper, we introduce certain types of linear transformations such that linear transformations of type(I) and of type(II) with respected to ordered bases. We prove that these linear transformations are invertible and we discuss the composition of two linear transformations of each type. We give a formula to find the inverse of the matrix representation of each type.